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Finding the Fourth Proportional to 4,760.81, 7,144.16 and 2,295.88

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Solution

The fourth proportional to 4,760.81, 7,144.16 and 2,295.88 is: 3,445.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,760.81 : 7,144.16 = 2,295.88 : x
  2. Step 2: Convert to fraction form
    4,760.81/7,144.16 = 2,295.88/x
  3. Step 3: Cross multiply
    4,760.81x = 7,144.16 × 2,295.88
  4. Step 4: Simplify right side
    4,760.81x = 16,402,134.06
  5. Step 5: Solve for x
    x = 16,402,134.06/4,760.81
  6. Step 6: Final answer
    x = 3,445.24

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.